The angle measures of a triangle are shown in the diagram.

Question

What is the value of x?

the angles are:

74

(5x)

(4x + 7)

the answers are:
A. 55
B. 21
C. 11
D. 28

Answer 1

To find the value of x, we can set up an equation using the fact that the sum of the interior angles of a triangle is always equal to 180 degrees.

74 + 5x + (4x + 7) = 180

Combine like terms:

74 + 9x + 7 = 180

81 + 9x = 180

Subtract 81 from both sides:

9x = 99

Divide both sides by 9:

x = 11

Therefore, the value of x is 11.

The answer is C. 11.